Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
__
<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
_____
Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
3<9h I hope this helps you
Answer:
A.)377.6
B.)7.084
C.)1107.6
D.)680.8
Step-by-step explanation:
The first solution involves the volume of a pyramid. With the parameters, the volume is given as: 51cm³
<h3>What is the Volume of a Pyramid?</h3>
The volume of a pyramid is given as:
V = (lwh)/3
Where:
- L = base length
- w = base width
- h = pyramid height.
Hence, the volume of the pyramid is given as:
(6 x 5.2 x 4.9)/3
= 152.88/3
= 50.96
≈ 51 cm³
<h3>
What is the volume of the juice container?</h3>
Assuming that it is a cuboid, the volume for the shape of a cuboid is given as:
L x B x H
Where:
L = Length = 2cm
B (Width) = 34cm
H = Height = 12.2
Hence the Volume =
2 x 34 x 12.2
= 829.6
≈ 830 cm³
<h3>
What is the volume of the pit?</h3>
We are not given it's geometric description so we assume that it is a Cuboid.
Recall that the Volume of a Cuboid = L x B x H
Hence the Volume of the pit is:
7 x 5 x 8
<h3>
= 280 cm³
How much space can a box that measures 50cm on each edge hold?
</h3>
From the question, we can infer that we are dealing with a Cube.
The volume of a cube is given as L³.
Recall that L = 50cm
Hence, the volume is = 50³
= 125,000 cm³
<h3>
What is the volume of a rectangular prism?
</h3>
The formula for the volume of a rectangular prism is:
L x W x H; where
L (Length) = 130cm
W (Width) = 70cm
H (Height) = 110cm
→ 130 x 70 x 110
= 1,001,000 cm³
Learn more about volume at:
brainly.com/question/1972490
#SPJ1
Answer:
3x-6
Step-by-step explanation:
Thats the answer. .
